FromValuesContract.later_writes: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/from_values_contract.bend as FromValuesContract
Lines 97-115 of bendtorch-core@0.1.0.0/src/tensor/from_values_contract.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/from_values_contract.bend&start_line=97&end_line=115

import Base
import bendtorch-core@0.1.0.0/src/storage/LAWS.bend as StorageLaws
import bendtorch-core@0.1.0.0/src/storage/api.bend as Api
import bendtorch-core@0.1.0.0/src/storage/arith.bend as Arith

def later_writes(+values: List<&2, F32>, +cursor: Nat, +limit: U32, +index: U32, +base: F32,
  room: {Nat.is_le(Nat.add(cursor, List.length(&2, F32, values)), U32.to_nat(limit)) == True{} : Bool},
  earlier: {Nat.is_lt(U32.to_nat(index), cursor) == True{} : Bool}) ->
  {StorageLaws.expected(writes(values, cursor), U32.to_nat(limit), index, base) == base : F32}:
  match values:
    case Nil{}:
      {==}
    case +value <> +rest:
      +room = room
      +earlier = earlier
      Equal.trans(F32,
        StorageLaws.expected(writes(rest, 1n+cursor), U32.to_nat(limit), index,
          StorageLaws.latest(U32.to_nat(limit), StorageLaws.Write{U32.from_nat(cursor), value}, index, base)),
        StorageLaws.latest(U32.to_nat(limit), StorageLaws.Write{U32.from_nat(cursor), value}, index, base), base,
        later_writes(rest, 1n+cursor, limit, index,
          StorageLaws.latest(U32.to_nat(limit), StorageLaws.Write{U32.from_nat(cursor), value}, index, base),
          room_next(cursor, List.length(&2, F32, rest), U32.to_nat(limit), room),
          Arith.lt_le_trans(U32.to_nat(index), cursor, 1n+cursor, earlier, Arith.le_succ(cursor, cursor, Api.le_refl(cursor)))),
        missed(cursor, List.length(&2, F32, rest), limit, index, value, base, room, earlier))

Uses (21):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=F32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.length
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_le
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.from_nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/LAWS.bend&name=Op
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/LAWS.bend&name=expected
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/LAWS.bend&name=latest
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/api.bend&name=le_refl
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/arith.bend&name=le_succ
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/arith.bend&name=lt_le_trans
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/from_values_contract.bend&name=missed
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/from_values_contract.bend&name=room_next
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/from_values_contract.bend&name=writes